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Finding the Fourth Proportional to 14,549.68, 21,825.93 and 5,782.64

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Solution

The fourth proportional to 14,549.68, 21,825.93 and 5,782.64 is: 8,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.68 : 21,825.93 = 5,782.64 : x
  2. Step 2: Convert to fraction form
    14,549.68/21,825.93 = 5,782.64/x
  3. Step 3: Cross multiply
    14,549.68x = 21,825.93 × 5,782.64
  4. Step 4: Simplify right side
    14,549.68x = 126,211,495.86
  5. Step 5: Solve for x
    x = 126,211,495.86/14,549.68
  6. Step 6: Final answer
    x = 8,674.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.